Search a number
-
+
16118172 = 22327167383
BaseRepresentation
bin111101011111…
…000110011100
31010022212222100
4331133012130
513111240142
61333245100
7254000520
oct75370634
933285870
1016118172
119109904
125493790
1334545a5
1421d7d80
151635b4c
hexf5f19c

16118172 has 72 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 4565664.

The previous prime is 16118153. The next prime is 16118173. The reversal of 16118172 is 27181161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16118173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41893 + ... + 42275.

It is an arithmetic number, because the mean of its divisors is an integer number (652288).

Almost surely, 216118172 is an apocalyptic number.

16118172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16118172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

16118172 is an abundant number, since it is smaller than the sum of its proper divisors (30846564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16118172 is a wasteful number, since it uses less digits than its factorization.

16118172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 562 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 16118172 is about 4014.7443256078. The cubic root of 16118172 is about 252.6030530565.

It can be divided in two parts, 16118 and 172, that added together give a triangular number (16290 = T180).

The spelling of 16118172 in words is "sixteen million, one hundred eighteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 383 501 668 766 1002 1149 1169 1503 1532 2004 2298 2338 2681 3006 3447 3507 4596 4676 5362 6012 6894 7014 8043 10521 10724 13788 14028 16086 21042 24129 32172 42084 48258 63961 96516 127922 191883 255844 383766 447727 575649 767532 895454 1151298 1343181 1790908 2302596 2686362 4029543 5372724 8059086 16118172